105135314021252 has 24 divisors (see below), whose sum is σ = 185719305957696. Its totient is φ = 52072723978848.

The previous prime is 105135314021207. The next prime is 105135314021429. The reversal of 105135314021252 is 252120413531501.

It is a super-2 number, since 2×105135314021252² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475728 + ... + 14710535.

It is an arithmetic number, because the mean of its divisors is an integer number (7738304414904).

Almost surely, 2^{105135314021252} is an apocalyptic number.

It is an amenable number.

105135314021252 is a deficient number, since it is larger than the sum of its proper divisors (80583991936444).

105135314021252 is a wasteful number, since it uses less digits than its factorization.

105135314021252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17200667 (or 17200665 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 105135314021252 its reverse (252120413531501), we get a palindrome (357255727552753).

The spelling of 105135314021252 in words is "one hundred five trillion, one hundred thirty-five billion, three hundred fourteen million, twenty-one thousand, two hundred fifty-two".